A model of a boat is made on the scale of 1:4. The model is 120cm long. The
full size of the boat has a width of 60cm. What is the width of the scale
model?
Answers
Given :- A model of a boat is made on the scale of 1:4. The model is 120cm long. The full size of the boat has a width of 60cm.
Solution :-
→ Scale factor = 1 : 4
→ k = (1/4)
So,
→ Length of model = k * Length of the ship
→ 120 = (1/4) * Length of the ship
→ Length of the ship = 120 * 4 = 480cm.
Now, given that, full size of the boat has a width of 60cm.
So,
→ Area of actual boat = Length * width = 480 * 60 = 28800 cm².
Now, we know that,
→ Area of model = (k)² * Area of actual boat
→ 120 * width of model = (1/4)² * 28800
→ 120 * width of model = (1/16) * 28800
→ 120 * width of model = 1800 cm² .
dividing both sides by 120,
→ width of model = 15 cm. (Ans.)
Hence, width of model is 15cm.
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Step-by-step explanation:
width of real boat = 60cm
width of modal boat = 1/4 * 60
= 15 cm